What is the perimeter of triangle PQR? Round to the nearest tenth if necessary
A. 25.6 units
B. 28 units
C. 24 units
D. 27.3 units

*if possible please show work*​

The least sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 5 minutes will be 416.16.

A normal distribution is a data set design in which the majority of values cluster around the middle of the range and the remainder taper off symmetrically toward either end. Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central location, with values decreasing as one moves out from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same. The normal distribution, like any other probability distribution, defines how the values of a variable are distributed. Because it properly captures the distribution of values for many natural occurrences, it is the most important probability distribution in statistics.

Here,

The z value at the 90 percent confidence interval is 1.645.

t ≥ z*s/√n

5≥1.645*62/√n

√n≥20.398

√n≥20.4

n≥416.16

The smallest sample size required to ensure that the sample mean does not deviate from the population mean by more than 5 minutes with 90% confidence is 416.16.

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The critical points occur at the points where \(x^3\) = y and y = x. The second derivative test is inconclusive for (0, 0).

(a) To find the critical points of the function f(x, y), we need to find the values of x and y where the partial derivatives of f with respect to x and y are equal to zero.

Taking the partial derivative of f with respect to x, we have:

∂f/∂x = 4\(x^3\) - 4y

Setting this equal to zero and solving for x, we get:

4\(x^3\) - 4y = 0

\(x^3\)= y

Similarly, taking the partial derivative of f with respect to y, we have:

∂f/∂y = 4y - 4x

Setting this equal to zero and solving for y, we get:

4y - 4x = 0

y = x

Therefore, the critical points occur at the points where \(x^3\) = y and y = x.

(b) To classify the critical points, we need to examine the second-order partial derivatives of f.

Taking the second partial derivatives of f with respect to x and y, we have:

\(\partial^2f/\partial x^2 = 12x^2\)

\(\partial^2f/\partial y^2 = 4\)

The mixed partial derivative is:

\(\partial^2f/\partial x\partial y = -4\)

To determine the nature of the critical points, we evaluate the discriminant D = \((\partial^2f/\partial x^2)(\partial ^2f/\partial y^2) - (\partial ^2f/\partial x\partial y)^2\)at each critical point.

For \(x^3\) = y and y = x, the critical points are (0, 0) and (1, 1).

At (0, 0):

D = \((12(0)^2)(4) - (-4)^2 = 16\) > 0

Since D > 0 and \(\partial ^2f/\partial x^2 = 12(0)^2\) = 0, the second derivative test is inconclusive for (0, 0).

At (1, 1):

D = \((12(1)^2)(4) - (-4)^2\) = 112 > 0

Since D > 0 and \(\partial^2f/\partial x^2 = 12(1)^2\) = 12 > 0, the second derivative test indicates a local minimum at (1, 1).

Therefore, the critical points of f are (0, 0) and (1, 1), and (1, 1) is a local minimum point. The second derivative test is inconclusive for (0, 0).

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Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

Analytics is often described as the study of historical data to extract insights and make informed decisions. It involves the collection, processing, and analysis of data to discover patterns, identify trends, and gain insights into business operations. By examining data sets, analytics can help businesses identify areas of improvement, optimize performance, and increase efficiency. Analytics tools and techniques can be used across many different fields, including finance, marketing, healthcare, and sports. In finance, analytics can be used to analyze market trends and predict future outcomes. In marketing, analytics can help businesses identify customer behavior patterns and optimize marketing campaigns. In healthcare, analytics can help identify patterns in patient data and improve healthcare outcomes. In sports, analytics can be used to analyze player performance and predict game outcomes.

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

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Explanation is in the file

tinyurl.com/wpazsebu

Answer:

No it is Not Equivalent

Step-by-step explanation:

5x and x + 5 are NOT equivalent because 5x would be 5 times x or 5(x) but for x + 5 it is just 5 + x they will not be the same value either.

If from total of 28 students, 12 has clock, 16 have calculator and 4 do not have these items, then the number of students that have clock and a calculator are (b) 4.

The total number of students are 28 students,

The number of students who has a clock is = 12 students,

The number of students who has a calculator is = 16 students,

The number of students who do not have any of these is = 4 students,

Let the number of students who has-both clock and calculator be = x,

So, the number of students having only clock are = 12-x,

the number of students having only calculator are = 16-x,

The equation for total students is written as :

⇒ 12-x + x + 16-x + 4 = 28,

⇒ 32 - x = 28,

⇒ x = 32 - 28,

⇒ x = 4,

Therefore, 4 students have a clock and calculator, Option(b) is correct.

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The characteristic of "Mailing Address" would be considered a qualitative variable.

A qualitative variable is a type of variable that is used to assign information that can't be measured by numbers. Qualitative data is used to label the attributes of the individuals, objects, or other items in the study.Types of Qualitative DataThere are many types of qualitative data, for instance:Nominal Data is data that can't be ranked and the measurements have no specific order or sequence.Ordinal Data is data that can be ranked and that has a definite order or sequence.Below are the options given and among them which is qualitative.Size in Square FeetMailing AddressNumber of BathroomsEstimated Market ValueAmong the given options, Mailing Address is considered a qualitative variable. Therefore, the answer is "Mailing Address".

Quantitative data are generally numerical and can be counted or measured, while qualitative data are descriptive and non-numerical. Qualitative data provide a descriptive view of the information that can be used to form ideas or summarize patterns. Qualitative data are frequently used in qualitative studies, but they can also be used in quantitative studies. However, the characteristics of a house that are qualitative variables can be any type of descriptive data that cannot be measured with a numerical value.Mailing Address is a qualitative variable. Because it is a type of data that cannot be counted or measured, it is a qualitative data type. Qualitative data are often used to describe something or to provide more information than can be given by numbers alone. Therefore, the characteristic of "Mailing Address" would be considered a qualitative variable.

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Answer:

\( \frac{88}{7} units\)

Step-by-step explanation:

Circumference of semi-circle=

\(\pi \: r\)

\( \frac{22}{7} \times 4 \\ \frac{88}{7} \)

Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.

Step-by-step explanation:

The value of P(B) when A and B are mutually exclusive is 0.4 and when A and B are independent is zero.

Mutually exclusive events are those events which do not occur at the same time. For a mutually exclusive event we have the formula,

P(A∪B) = P(A) + P(B) - P(A∩B)

Here P(A∩B) is equal to zero and P(A) = 0.3 and P(A∪B) = 0.7

Now when we substitute the values we get

0.7 = 0.3 + P(B)

=> P(B) = 0.7 - 0.3

=> P(B) = 0.4

Now, if the events are independent then we have the formula

P(A∩B) = P(A)×P(B)

Since we already know that P(A∩B) = 0 then

0 = 0.3×P(B)

=> P(B) = 0 which means that the event will not take place.

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Answer:

4

Step-by-step explanation:

if you're talking about quadrants on a coordinate plane then it is 4:)

coordinate planes are separated into four quadrants (qI,qII,qIII,qIV) shaped like a plus sign, 2 positive quadrants and 2 negative.

Answer:

4! They are called quadrants and quad means 4 <3

Step-by-step explanation:

Answer:

y = 161 \(\frac{1}{2\\}\)

Step-by-step explanation:

You can make this more visually understandable first:

y =  25   =  ?  

x  =  3/4   = 4 \(\frac{7}{8}\)

The change from 3/4 to 4 7/8 is 13/2, so the change between 25 and ? must be 13/2 as well.

25 * 13/2 = 325/2

                = 162 1/2

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

it is 7

Step-by-step explanation:

Answer:

I believe it would be -3, 7?

Step-by-step explanation:

IF we move the entire triangle to the left, that's where the coordinates line up.

Hope it helps?

The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

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Answer: x = 19/189

Step-by-step explanation:

Add the same term to both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

Simplify

Divide both sides of the equation by the same term

Simplify

Any theory of the yield curve must be able to explain the real rate of interest, interest rate risk premium, and inflation premium.

A flat yield curve indicates that the interest rate would be consistent. The long-term interest rates and short-term interest rates are identical. According to the liquidity premium hypothesis of the term structure, a flat yield curve denotes that short-term interest rates are predicted to stay constant.

Level, scope, and inflation are the three main factors that investors often direct to directions in the yield curve. If the yield curve is upward-tilting, the short-term interest rate would be lower than the long-term interest rate.

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1800

200 is the hundreds place value
2000 is the value to its left
2000-200 is 1800

Answer:

second one

Step-by-step explanation:

Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

Answer:

Step 1: Lets say 'x' is the total wage. Then we subtract 1/4 from the total wages.

=> 4x/4 - x/4

=> 3x/4 = Remaining Wages Left.

Step 2: Subtract 20% from 3x/4.

3x/4 - x/5 = Remaining Wages Left.                                 [20% = 20x/100 = x/5]

=> 11x/20 = Remaining Wages Left.

Step 3: Subtract 0.15x from his remaining wages left.

=> 11x/20 - 3x/20 = Remaining Wages Left.                     [0.15 = 15/100 = 3/20]

=> 8x/20 = Remaining Wages Left.

Step 4: Simplify

8x/20 = 2x/5 = 0.40x

=> Simon has saved 2x/5 of the wages.

Please give me brainliest :)

Answer:

Step-by-step explanation:

The total is 100% or 1.

Spent:

Left:

On the basis of birthday problem or scenario, the number of people should be selected to guarantee that at least 4 were born on the same day, not considering the year is equals to the 1096.

The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. The number of people who ensure that at least 7 people have a birthday on a single day of a non-leap year (365 days) can be determined by ensuring that in the number of people selected in each trial, two people do not have a birthday on a day. the same day. There are 365 days in a year.

Assuming everyone was born on a different day, then you could have 365 people where no one was born on the same day, but those 366 people would have to be born on the same day as someone else in the group. So the minimum number of people in a group would have to be 366 to guarantee that at least 2 people were born on the same day. But we wanted to guarantee that at least 4 people were born on the same day.

So, assuming we had 3 × 365 people together, with every 3 of them being born on the same day. Then would have a total of 365× 3 = 1095 people, with no more than 3 people being born on the same day. Now as we select one more person, the number of people born on a day for one of the days in the year will increase to 4. Hence the number of people that should be selected to guarantee that at least 4 were born on the same day are 1095 +1 = 1096. Hence, required value is 1096.

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Answer:

y=4

Step-by-step explanation:

First, you should simplify this equation. To do that, we need to multiply 3 by 4y and 3 by 7. This will make the equation 12y+21=69. Subtract 21 from both sides to isolate y. This will make the equation 12y=48. You want the y to be by itself so you have to divide 12 by each side to get y=4. Therefore, the answer is y=4.

Hope this helps

That is the answer...

Using the fact that the triangles are similar, we will see that:

x = 5.626

On the image we can see two triangles, such that one is inscribed on the other.

Just because of that, it is obvious that the two triangles are similar.

And because the triangles are similar, the quotients between correspondent sides must be equal, that allows us to write the equation:

3/x = 8/15

The quotient is "left side over the bottom side"

We can solve that equation for x:

3/x = 8/15

3 = (8/15)*x

(15/8)*3 = x

45/8 = x

5.625 = x

That is the value of x.

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The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24% is 0.2529.

Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, probability has been introduced in mathematics.

The sum of probabilities of all non vegetarian sandwiches that is

= 5.86% + 6.54% + 6.24% + 6.33% = 24.67%

The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24%.

Probability = 0.064/0.2467

                  = 0.2529

Hence the probability is 0.2529

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The improper integral ∫ 1/x dx from 0 to ∞ is divergent. The improper integral ∫ 1/x dx from 0 to ∞ represents the integral of the function 1/x with respect to x over the interval from 0 to positive infinity.

To determine whether this integral is convergent or divergent, we need to evaluate it.

Let's split the integral into two parts: from 0 to 1 and from 1 to ∞.

∫(0 to 1) 1/x dx

This part of the integral is a finite integral, and it can be evaluated as:

∫(0 to 1) 1/x dx = [ln|x|] (0 to 1) = ln(1) - ln(0)

However, ln(0) is undefined, so this part of the integral does not converge.

Now let's evaluate the second part of the integral:

∫(1 to ∞) 1/x dx

This integral represents the area under the curve of the function 1/x from 1 to ∞. This is a well-known integral and is known to diverge. As x approaches infinity, the value of 1/x approaches 0, but it never reaches 0. Therefore, the area under the curve keeps increasing indefinitely, and the integral diverges.

Since either part of the integral diverges, the overall integral ∫ 1/x dx from 0 to ∞ is divergent.

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Answer:

a. 8, 13 b. 375, -1875

Step-by-step explanation:

a. -1(+2), 1(+3), 4(+4), 8(+5), 13

b. -3(-5), 15(-5), -75(-5), 375(-5), -1875

Based on the amount that Scott borrowed for the new TV and game system, and the interest paid, the simple interest rate is 15.7%

The simple interest rate can be found by the formula:

= Interest paid by Scott on the loan / Amount Scott borrowed x 100%

Solving for the simple interest rate gives:

= 155 / 985 x 100%

= 0.1573604060913705583756345177665 x 100%

= 0.157 x 100%

= 15.7%

This means that Scott paid 15.7% on the loan he borrowed.

In conclusion, Scott's simple interest rate is 15.7%.

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The polynomial 5-3x can be written in standard form as -3x + 5. It is a first-degree polynomial (linear) with two terms.

To write the polynomial 5-3x in standard form, we rearrange the terms in descending order of their degrees. The polynomial already has the terms arranged in the correct order, so we can rewrite it as -3x + 5.
The degree of a polynomial is determined by the highest power of the variable. In this case, the highest power of x is 1, so the polynomial is a first-degree polynomial, also known as a linear polynomial.
The number of terms in a polynomial is determined by the number of distinct algebraic terms it contains. In this case, we have two distinct terms, -3x and 5, so the polynomial has two terms.
Therefore, the polynomial -3x + 5 is a first-degree (linear) polynomial with two terms.

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